{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T15:20:09Z","timestamp":1759332009038},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2021,1,3]],"date-time":"2021-01-03T00:00:00Z","timestamp":1609632000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,3]],"date-time":"2021-01-03T00:00:00Z","timestamp":1609632000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2021,10]]},"DOI":"10.1007\/s00454-020-00261-5","type":"journal-article","created":{"date-parts":[[2021,1,3]],"date-time":"2021-01-03T18:02:30Z","timestamp":1609696950000},"page":"1105-1112","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On the Lattice Hadwiger Number of Superballs and Some Other Bodies"],"prefix":"10.1007","volume":"66","author":[{"given":"Serge","family":"Vl\u0103du\u0163","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,1,3]]},"reference":[{"issue":"2","key":"261_CR1","doi-asserted-by":"publisher","first-page":"396","DOI":"10.1006\/jcta.2001.3206","volume":"96","author":"A Ashikhmin","year":"2001","unstructured":"Ashikhmin, A., Barg, A., Vl\u0103du\u0163, S.: Linear codes with exponentially many light vectors. J. Comb. Theory Ser. A 96(2), 396\u2013399 (2001)","journal-title":"J. Comb. Theory Ser. A"},{"issue":"1","key":"261_CR2","doi-asserted-by":"publisher","first-page":"117","DOI":"10.4153\/CJM-1983-008-1","volume":"35","author":"ES Barnes","year":"1983","unstructured":"Barnes, E.S., Sloane, N.J.A.: New lattice packings of spheres. Can. J. Math. 35(1), 117\u2013130 (1983)","journal-title":"Can. J. Math."},{"issue":"2","key":"261_CR3","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1112\/S0025579300012262","volume":"29","author":"A Bos","year":"1982","unstructured":"Bos, A., Conway, J.H., Sloane, N.J.A.: Further lattice packings in high dimensions. Mathematika 29(2), 171\u2013180 (1982)","journal-title":"Mathematika"},{"key":"261_CR4","doi-asserted-by":"crossref","unstructured":"Conway, J.H., Sloane, N.J.A.: Sphere Packings, Lattices and Groups. Grundlehren der Mathematischen Wissenschaften, vol. 290. Springer, New York (1988)","DOI":"10.1007\/978-1-4757-2016-7"},{"issue":"3","key":"261_CR5","doi-asserted-by":"publisher","first-page":"613","DOI":"10.1007\/BF01232282","volume":"105","author":"ND Elkies","year":"1991","unstructured":"Elkies, N.D., Odlyzko, A.M., Rush, J.A.: On the packing densities of superballs and other bodies. Invent. Math. 105(3), 613\u2013639 (1991)","journal-title":"Invent. Math."},{"issue":"1","key":"261_CR6","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/BF01884295","volume":"121","author":"A Garcia","year":"1995","unstructured":"Garcia, A., Stichtenoth, H.: A tower of Artin\u2013Schreier extensions of function fields attaining the Drinfeld\u2013Vladut bound. Invent. Math. 121(1), 211\u2013222 (1995)","journal-title":"Invent. Math."},{"key":"261_CR7","doi-asserted-by":"publisher","first-page":"657","DOI":"10.4153\/CJM-1964-065-1","volume":"16","author":"J Leech","year":"1964","unstructured":"Leech, J.: Some sphere packings in higher space. Can. J. Math. 16, 657\u2013682 (1964)","journal-title":"Can. J. Math."},{"key":"261_CR8","unstructured":"MacWilliams, F.J., Sloane, N.J.A.: The Theory of Error-Correcting Codes. I. North-Holland Mathematical Library, vol. 16. North-Holland, Amsterdam (1977)"},{"key":"261_CR9","doi-asserted-by":"crossref","unstructured":"Swanepoel, K.J.: Combinatorial distance geometry in normed spaces. In: New Trends in Intuitive Geometry. Bolyai Soc. Math. Stud., vol. 27, pp. 407\u2013458. J\u00e1nos Bolyai Math. Soc., Budapest (2018)","DOI":"10.1007\/978-3-662-57413-3_17"},{"key":"261_CR10","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1017\/S0305004100028188","volume":"49","author":"HPF Swinnerton-Dyer","year":"1953","unstructured":"Swinnerton-Dyer, H.P.F.: Extremal lattices of convex bodies. Proc. Camb. Philos. Soc. 49, 161\u2013162 (1953)","journal-title":"Proc. Camb. Philos. Soc."},{"issue":"3","key":"261_CR11","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1007\/PL00009362","volume":"19","author":"I Talata","year":"1998","unstructured":"Talata, I.: Exponential lower bound for the translative kissing numbers of $$d$$-dimensional convex bodies. Discrete Comput. Geom. 19(3), 447\u2013455 (1998)","journal-title":"Discrete Comput. Geom."},{"key":"261_CR12","doi-asserted-by":"crossref","unstructured":"Tsfasman, M., Vl\u0103du\u0163, S., Nogin, D.: Algebraic Geometric Codes: Basic Notions. Mathematical Surveys and Monographs, vol. 139. American Mathematical Society, Providence (2007)","DOI":"10.1090\/surv\/139"},{"issue":"2","key":"261_CR13","doi-asserted-by":"publisher","first-page":"163","DOI":"10.2140\/moscow.2019.8.163","volume":"8","author":"S Vl\u0103du\u0163","year":"2019","unstructured":"Vl\u0103du\u0163, S.: Lattices with exponentially large kissing numbers. Mosc. J. Comb. Number Theory 8(2), 163\u2013177 (2019)","journal-title":"Mosc. J. Comb. Number Theory"},{"key":"261_CR14","doi-asserted-by":"crossref","unstructured":"Zong, C.: The kissing number, blocking number and covering number of a convex body. In: Surveys on Discrete and Computational Geometry. Contemp. Math., vol. 453, pp. 529\u2013548. American Mathematical Society, Providence (2008)","DOI":"10.1090\/conm\/453\/08812"}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-020-00261-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00454-020-00261-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-020-00261-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,9]],"date-time":"2021-09-09T16:12:24Z","timestamp":1631203944000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00454-020-00261-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,3]]},"references-count":14,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,10]]}},"alternative-id":["261"],"URL":"https:\/\/doi.org\/10.1007\/s00454-020-00261-5","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,3]]},"assertion":[{"value":"1 October 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 October 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 October 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 January 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}